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Jan 31, 2012 at 2:47 comment added Brett Parker Also, Fukaya, Oh, Ohta and Ono give a construction of a triangulation of $f^{-1}(0)$ for a type of piecewise smooth equivariant $f$ in arxiv.org/pdf/1105.5124.pdf
Jan 30, 2012 at 0:13 comment added Brett Parker The question of `what does $f^{-1}(0)$ look like for a generic equivariant smooth map is studied a bit by Fukaya and Ono in math.kyoto-u.ac.jp/~fukaya/foZ.pdf Also, Joyce answers when a generic equivariant map is transverse to $0$ in the usual sense in Remark 11.59 of his book on derived orbifolds. Posted on the web here: people.maths.ox.ac.uk/~joyce/dmanifolds.html
Jan 27, 2012 at 4:07 history edited Brett Parker CC BY-SA 3.0
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Jan 27, 2012 at 3:57 history answered Brett Parker CC BY-SA 3.0